If an Object Is Dropped from a High Cliff or a Tall

question 43

Essay

If an object is dropped from a high cliff or a tall building, then the distance it has fallen after t seconds is given by the function $f ( t ) = 16 t ^ { 2 }$
Find its average speed (average rate of change) over the following intervals:
(i) Between 2 s and 7 s
(ii) Between $t = c \text { and } t = c + h$

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Definitions:

Anti-federalists

Individuals who opposed the ratification of the United States Constitution in 1787, fearing centralized government and advocating for stronger state sovereignty.

Declaration of Independence

A founding document of the United States, adopted on July 4, 1776, which declared the thirteen American colonies independent from British rule.

Guiding Principles

Fundamental norms, rules, or values that represent what is desirable and positive for a person, group, organization, or community, and help it to determine the rightfulness or wrongfulness of its actions.

Revolutionary Spirit

The energetic determination and radical mindset advocating for fundamental change in a society or government.